45029952 has 224 divisors, whose sum is σ = 152156160. Its totient is φ = 12925440.

The previous prime is 45029947. The next prime is 45029989. The reversal of 45029952 is 25992054.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 437133 + ... + 437235.

Almost surely, 2^45029952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45029952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76078080).

45029952 is an abundant number, since it is smaller than the sum of its proper divisors (107126208).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45029952 is a wasteful number, since it uses less digits than its factorization.

45029952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 45029952 is about 6710.4360514053. The cubic root of 45029952 is about 355.7682285529.

The spelling of 45029952 in words is "forty-five million, twenty-nine thousand, nine hundred fifty-two".